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math.SP2019★ 1 cited
Courant-sharp Robin eigenvalues for the square -- the case with small Robin parameter--
Katie Gittins, Bernard Helffer
This article is the continuation of our first work on the determination of the cases where there is equality in Courant's Nodal Domain theorem in the case of a Robin boundary condi…
math.AP2019
Heat flow from polygons
Michiel van den Berg, Peter Gilkey, Katie Gittins
We study the heat flow from an open, bounded set in with a polygonal boundary . The initial condition is the indicator function of . A Dirichlet bound…